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Finding the Fourth Proportional to 3,709.92, 5,121.72 and 2,532.72

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Solution

The fourth proportional to 3,709.92, 5,121.72 and 2,532.72 is: 3,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.92 : 5,121.72 = 2,532.72 : x
  2. Step 2: Convert to fraction form
    3,709.92/5,121.72 = 2,532.72/x
  3. Step 3: Cross multiply
    3,709.92x = 5,121.72 × 2,532.72
  4. Step 4: Simplify right side
    3,709.92x = 12,971,882.68
  5. Step 5: Solve for x
    x = 12,971,882.68/3,709.92
  6. Step 6: Final answer
    x = 3,496.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.